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Finding the Third Proportional to 5,322 and 7,308

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Solution

The third proportional to 5,322 and 7,308 is: 10,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322 : 7,308 = 7,308 : x
  2. Step 2: Convert to fraction form
    5,322/7,308 = 7,308/x
  3. Step 3: Cross multiply
    5,322x = 7,308 × 7,308
  4. Step 4: Simplify right side
    5,322x = 53,406,864
  5. Step 5: Solve for x
    x = 53,406,864/5,322
  6. Step 6: Final answer
    x = 10,035.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.